Saturday, 19 September 2026

PUZZLE

) The graph shows the function 
a) f(x)= 1/x b) log x c) sinx d) eˣ e) aˣ   a

) In ∆ ABC, AB = AC and D is a point on AB such that AD = DC = BC.  Then angle BAC is
a) 36° b) 52° c) 60° d) 72° e) 45°   a


) The side of a given square is 10cm. The mid-points of its sides are joined to form a new square. Again, the midpoints of the sides of this new square are joined to form another square. This process is continued indefinitely. Find the sum of the perimeters of the squares.
a) 200√2cm 
b) 40√2 cm 
c) (40+ 40√2) cm
d) (80+ 40√2)cm
e) (120+ 40√2)cm      c

) BEC is an equilateral triangle in the square ABCD. Find the value of x in the figure.
a) 30 b) 45 c) 60 d) 75 e) 90        d
   
) At the foot of a mountain, the angle of elevation of its summit is 45°. After ascending 1km towards the mountain up an incline of 30°, the elevation changes to 60°. Then the height of the mountain is:  (Given:.√3= 1.73)
a) 55.68km b) 21.63km c) 1.365km d) 40.68km e) 2.316km       c

) The adjoining figure shows an isosceles triangle ABOAABOB
) If E₁ and E₂ be two events such that E₁ ⊆ E₂ then 
a) P(E₁)> P(E₂)  b) P(E₁)≤ P(E₂) c) P(E₁) =  P(E₂) d) P(E₁) - P(E₂) = 0 e) P(E₁) ≠ P(E₂)  b

) The range of the relation is
a) (1,2,3,4) 
b) (3,6,9,12) 
c) (5,6,7,8,9,10, 11, 12, 13,14) 
d) (1,2,4,5,7,8,10,11,13,14)  
e) none

) Value of cos θ of 
a) 12/13 b) 13/12 c) 5/12 d) 5/13 e)6/13
) The moon's distance from the earth is 360000 kms and its diameter subtends an angle of 31' at the eye of the observer. Then the diameter of the moon is 
a) 3247.62km b) 5637.73 km c) 4397.56kms d) 3084.67 km e) 2977.89km

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